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Finding the Fourth Proportional to 411,688.40, 617,532.60 and 285,717.20

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Solution

The fourth proportional to 411,688.40, 617,532.60 and 285,717.20 is: 428,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,688.40 : 617,532.60 = 285,717.20 : x
  2. Step 2: Convert to fraction form
    411,688.40/617,532.60 = 285,717.20/x
  3. Step 3: Cross multiply
    411,688.40x = 617,532.60 × 285,717.20
  4. Step 4: Simplify right side
    411,688.40x = 176,439,685,380.72
  5. Step 5: Solve for x
    x = 176,439,685,380.72/411,688.40
  6. Step 6: Final answer
    x = 428,575.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.